Hyperstability of the Jensen functional equation

We present some observations on hyperstability for the Jensen equation on restricted domain. Namely, we show, under some weak natural assumptions, that functions satisfying the equation approximately (in some sense) must be actually solutions to it.

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Bibliographic Details
Published in:Acta mathematica Hungarica 2014-04, Vol.142 (2), p.353-365
Main Authors: Bahyrycz, Anna, Piszczek, Magdalena
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
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Description
Summary:We present some observations on hyperstability for the Jensen equation on restricted domain. Namely, we show, under some weak natural assumptions, that functions satisfying the equation approximately (in some sense) must be actually solutions to it.
ISSN:0236-5294
1588-2632
DOI:10.1007/s10474-013-0347-3